Pre-Algebra Examples

$16 x + 4 = 8 y - 1$

Step 1

Move all terms not containing $x$ to the right side of the equation.

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Step 1.1

Subtract $4$ from both sides of the equation.

$16 x = 8 y - 1 - 4$

Step 1.2

Subtract $4$ from $- 1$ .

$16 x = 8 y - 5$

Step 2

Divide each term in $16 x = 8 y - 5$ by $16$ and simplify.

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Step 2.1

Divide each term in $16 x = 8 y - 5$ by $16$ .

$\frac{16 x}{16} = \frac{8 y}{16} + \frac{- 5}{16}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $16$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{16 x}{16} = \frac{8 y}{16} + \frac{- 5}{16}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{8 y}{16} + \frac{- 5}{16}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Cancel the common factor of $8$ and $16$ .

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Step 2.3.1.1.1

Factor $8$ out of $8 y$ .

$x = \frac{8 (y)}{16} + \frac{- 5}{16}$

Step 2.3.1.1.2

Cancel the common factors.

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Step 2.3.1.1.2.1

Factor $8$ out of $16$ .

$x = \frac{8 y}{8 \cdot 2} + \frac{- 5}{16}$

Step 2.3.1.1.2.2

Cancel the common factor.

$x = \frac{8 y}{8 \cdot 2} + \frac{- 5}{16}$

Step 2.3.1.1.2.3

Rewrite the expression.

$x = \frac{y}{2} + \frac{- 5}{16}$

Step 2.3.1.2

Move the negative in front of the fraction.

$x = \frac{y}{2} - \frac{5}{16}$